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Definition: Set of all negative integers
$ \mathbb{Z}^- = \left\{ n\in\mathbb{Z} | n < 0 \right\} $
A real number is said to be negative if its value is less than zero.

Properties

  • Negative + Negative = Negative
  • Negative * Positive = Negative
  • Negative * Negative = Positive
  • Due to the two previous properties, every even power of a negative is positive , and every odd power of a negative is negative.
  • A negative number does not have a real number square root . In fact , the $ 2n^{\text{th}} $ root of a negative is not a real number when $ n $ is natural.

See also

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